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Simplifying 140 = 3x2 + -16x Reorder the terms: 140 = -16x + 3x2 Solving 140 = -16x + 3x2 Solving for variable 'x'. Reorder the terms: 140 + 16x + -3x2 = -16x + 16x + 3x2 + -3x2 Combine like terms: -16x + 16x = 0 140 + 16x + -3x2 = 0 + 3x2 + -3x2 140 + 16x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 140 + 16x + -3x2 = 0 Factor a trinomial. (10 + -1x)(14 + 3x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(14 + 3x)' equal to zero and attempt to solve: Simplifying 14 + 3x = 0 Solving 14 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 0 + -14 3x = 0 + -14 Combine like terms: 0 + -14 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667Solution
x = {10, -4.666666667}
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